Solve 8left(9+2xright)=5left(2-3xright)

$$8 \left( 9+2x \right) = 5 \left( 2-3x \right)$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 9+2x.

$$72+16x=5\left(2-3x\right)$$

Use the distributive property to multiply 5 by 2-3x.

$$72+16x=10-15x$$

Add 15x to both sides.

$$72+16x+15x=10$$

Combine 16x and 15x to get 31x.

$$72+31x=10$$

Subtract 72 from both sides.

$$31x=10-72$$

Subtract 72 from 10 to get -62.

$$31x=-62$$

Divide both sides by 31.

$$x=\frac{-62}{31}$$

Divide -62 by 31 to get -2.

$$x=-2$$